ProShares UltraPro QQQ (TQQQ)

TotalReturn:

'The total return on a portfolio of investments takes into account not only the capital appreciation on the portfolio, but also the income received on the portfolio. The income typically consists of interest, dividends, and securities lending fees. This contrasts with the price return, which takes into account only the capital gain on an investment.'

• Compared with the benchmark SPY (95%) in the period of the last 5 years, the total return, or increase in value of 145% of ProShares UltraPro QQQ is larger, thus better.
• During the last 3 years, the total return, or increase in value is 543.9%, which is greater, thus better than the value of 86.2% from the benchmark.

CAGR:

'The compound annual growth rate (CAGR) is a useful measure of growth over multiple time periods. It can be thought of as the growth rate that gets you from the initial investment value to the ending investment value if you assume that the investment has been compounding over the time period.'

• Looking at the annual return (CAGR) of 19.7% in the last 5 years of ProShares UltraPro QQQ, we see it is relatively higher, thus better in comparison to the benchmark SPY (14.3%)
• During the last 3 years, the annual performance (CAGR) is 86.5%, which is higher, thus better than the value of 23.1% from the benchmark.

Volatility:

'Volatility is a rate at which the price of a security increases or decreases for a given set of returns. Volatility is measured by calculating the standard deviation of the annualized returns over a given period of time. It shows the range to which the price of a security may increase or decrease. Volatility measures the risk of a security. It is used in option pricing formula to gauge the fluctuations in the returns of the underlying assets. Volatility indicates the pricing behavior of the security and helps estimate the fluctuations that may happen in a short period of time.'

• The volatility over 5 years of ProShares UltraPro QQQ is 67.2%, which is larger, thus worse compared to the benchmark SPY (17.1%) in the same period.
• Compared with SPY (15.3%) in the period of the last 3 years, the 30 days standard deviation of 59.1% is higher, thus worse.

DownVol:

'The downside volatility is similar to the volatility, or standard deviation, but only takes losing/negative periods into account.'

• Looking at the downside deviation of 47.1% in the last 5 years of ProShares UltraPro QQQ, we see it is relatively larger, thus worse in comparison to the benchmark SPY (11.8%)
• Compared with SPY (10.2%) in the period of the last 3 years, the downside risk of 39.6% is higher, thus worse.

Sharpe:

'The Sharpe ratio is the measure of risk-adjusted return of a financial portfolio. Sharpe ratio is a measure of excess portfolio return over the risk-free rate relative to its standard deviation. Normally, the 90-day Treasury bill rate is taken as the proxy for risk-free rate. A portfolio with a higher Sharpe ratio is considered superior relative to its peers. The measure was named after William F Sharpe, a Nobel laureate and professor of finance, emeritus at Stanford University.'

• The Sharpe Ratio over 5 years of ProShares UltraPro QQQ is 0.26, which is lower, thus worse compared to the benchmark SPY (0.69) in the same period.
• Compared with SPY (1.35) in the period of the last 3 years, the ratio of return and volatility (Sharpe) of 1.42 is greater, thus better.

Sortino:

'The Sortino ratio, a variation of the Sharpe ratio only factors in the downside, or negative volatility, rather than the total volatility used in calculating the Sharpe ratio. The theory behind the Sortino variation is that upside volatility is a plus for the investment, and it, therefore, should not be included in the risk calculation. Therefore, the Sortino ratio takes upside volatility out of the equation and uses only the downside standard deviation in its calculation instead of the total standard deviation that is used in calculating the Sharpe ratio.'

• Compared with the benchmark SPY (1.01) in the period of the last 5 years, the ratio of annual return and downside deviation of 0.37 of ProShares UltraPro QQQ is smaller, thus worse.
• During the last 3 years, the excess return divided by the downside deviation is 2.12, which is higher, thus better than the value of 2.03 from the benchmark.

Ulcer:

'Ulcer Index is a method for measuring investment risk that addresses the real concerns of investors, unlike the widely used standard deviation of return. UI is a measure of the depth and duration of drawdowns in prices from earlier highs. Using Ulcer Index instead of standard deviation can lead to very different conclusions about investment risk and risk-adjusted return, especially when evaluating strategies that seek to avoid major declines in portfolio value (market timing, dynamic asset allocation, hedge funds, etc.). The Ulcer Index was originally developed in 1987. Since then, it has been widely recognized and adopted by the investment community. According to Nelson Freeburg, editor of Formula Research, Ulcer Index is “perhaps the most fully realized statistical portrait of risk there is.'

• Compared with the benchmark SPY (8.42 ) in the period of the last 5 years, the Ulcer Ratio of 42 of ProShares UltraPro QQQ is larger, thus worse.
• Looking at Downside risk index in of 16 in the period of the last 3 years, we see it is relatively higher, thus worse in comparison to SPY (3.51 ).

MaxDD:

'Maximum drawdown measures the loss in any losing period during a fund’s investment record. It is defined as the percent retrenchment from a fund’s peak value to the fund’s valley value. The drawdown is in effect from the time the fund’s retrenchment begins until a new fund high is reached. The maximum drawdown encompasses both the period from the fund’s peak to the fund’s valley (length), and the time from the fund’s valley to a new fund high (recovery). It measures the largest percentage drawdown that has occurred in any fund’s data record.'

• The maximum drop from peak to valley over 5 years of ProShares UltraPro QQQ is -81.7 days, which is lower, thus worse compared to the benchmark SPY (-24.5 days) in the same period.
• During the last 3 years, the maximum reduction from previous high is -58 days, which is lower, thus worse than the value of -18.8 days from the benchmark.

MaxDuration:

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. The Max Drawdown Duration is the worst (the maximum/longest) amount of time an investment has seen between peaks (equity highs) in days.'

• Looking at the maximum days under water of 762 days in the last 5 years of ProShares UltraPro QQQ, we see it is relatively larger, thus worse in comparison to the benchmark SPY (488 days)
• During the last 3 years, the maximum days under water is 161 days, which is larger, thus worse than the value of 87 days from the benchmark.

AveDuration:

'The Drawdown Duration is the length of any peak to peak period, or the time between new equity highs. The Avg Drawdown Duration is the average amount of time an investment has seen between peaks (equity highs), or in other terms the average of time under water of all drawdowns. So in contrast to the Maximum duration it does not measure only one drawdown event but calculates the average of all.'

• The average days under water over 5 years of ProShares UltraPro QQQ is 259 days, which is higher, thus worse compared to the benchmark SPY (119 days) in the same period.
• Looking at average time in days below previous high water mark in of 42 days in the period of the last 3 years, we see it is relatively greater, thus worse in comparison to SPY (21 days).